Assessment DescriptionI choose the Developing a logistic model to describe bacteria growth for this project. It’s
mean you have to do this project about the Developing a logistic model to describe bacteria
growth. You will think of Developing a logistic model to describe bacteria growth in the
real-life application and focus to be teaching-oriented in high school math teachers. And
follow the instructions.
Please read and follow the directions on the attached document for detailed instructions for how
to complete your end-of-course project.
While APA style is not required for the body of this assignment, solid academic writing is
expected.
This assignment uses a rubric. Review the rubric prior to beginning the assignment to become
familiar with the expectations for successful completion.
You are required to submit this assignment to LopesWrite. A link to the LopesWrite technical
support articles is located in Class Resources if you need assistance.
MAT 470 Modeling Project
The purpose of this assignment is to develop a collection of mathematical models centered upon
a singular topic of interest by following the mathematical modeling process outlined in class and
your textbooks. There are many details, steps, and hurdles required to accomplish these tasks.
This document aims to give insight into the expectations at each step of the modeling process, as
well as clarify the format, layout, and required components of your final submission
Preliminaries
– The word count for this assignment will be at the discretion of your instructor; however, a
general guideline is around 12 slides pages for the actual written portion of your overall
mathematical modeling content and findings (Times New Roman, 12 font, 1.5 spaced). You
should anticipate using Microsoft Word to complete the written report.
Each slides and each speaker notes need the citation, and use minimum 3 references for these
projects.
Each slides needs speaker notes that minimum has 85 words for each speaker notes that is
located under the slides. Each slide need 4 bullets.
– This project has a presentation component, so PowerPoint slides (with detailed notes) will also
need to be turned in. You may directly copy/paste written content from your report into your
PowerPoint presentation.
– Your final submission should contain a software component that supports and reinforces the
written content and results from your report. A Microsoft Excel spreadsheet and/or a MATLAB
script are expected in your final submission (as well as any other approved files that will enhance
your submission).
– Please read the rubric for this assignment
Introduction (10%)
– In detail and in appropriate academic prose, introduce your topic of interest, why this topic is
important to you, and its connection (if any) to your field of study.
– Outline the purpose of your models and state your original hypotheses and ideas for what the
mathematical models you create are going to indicate about your topic of interest. Remember:
your overall results of your model DO NOT need to reinforce your hypotheses. This is the
impartial beauty of the scientific method and why model verification and model modification are
both so important!
– Describe which discrete and continuous models will be used in your project with respect to
your topic of interest. Justify why these mathematical models are most appropriate and why
other mathematical models would not be most appropriate
Data Collection and Model Fitting (15%)
– Provide any real-world, simulated, randomized, or retrospectively collected data in appropriate
formats (tables, charts, pictures, Excel, MATLAB, etc.) with corresponding explanations and ties
to your overall mathematical models.
– Describe any simplifications you needed to make in order to fit the data to a model without the
addition of a significant number of extra variables, e.g. air friction, altitude, heat loss, negligible
weight, etc.
– Show the results of fitting your data to different mathematical models (both discrete and
continuous). Describe why these are the most appropriate models to represent your data.
Model Analyses (25%)
– Discuss any and all analyses conducted with respect to your mathematical models. Discuss any
patterns, trends, unexpected deviations, outliers, limitations, equilibria, etc.
– All solutions to the different mathematical models should be included in this section (analytic,
qualitative, numerical, graphical). Microsoft Equation Editor may be used here or snapshots of
clear, neat handwritten work can be inserted as well (or an appropriate combination of the two).
– If some of your solutions are found on software files, copy/paste relevant components of those
results onto your report for reference and reflection
Model Conclusions (15%)
– Discuss all conclusions drawn from your mathematical models, including real-world
interpretations, predictions, and any relevant interpolations/extrapolations (if relevant).
– Discuss the connections for the results of your discrete and continuous mathematical models.
Do they reinforce each other? Do they complement each other? Are they in conflict? Are the
results of one of the models more valuable than the others?
– Discuss how you would talk about these results to a class of younger mathematics students or
peers (if relevant to your major). What barriers and challenges would you encounter and how
might the instruction benefit your audience in spite of these barriers and challenges?
Software Files (10%)
– Include either a Microsoft Excel spreadsheet or a MATLAB script (or both) to complement and
support your reported results for your mathematical models.
– Additional files may be included here as well if you choose to utilize extra software
components (Python, C++, Java, Mathematica, CAD, etc.)
Presentation (20%)
– Your presentation component requires a set of PowerPoint slides (with detailed notes) about
your overall topic, setup, and results for your mathematical modeling objectives.
– Whether or not you will be presenting these results in class depends upon the medium of
instruction (ground, online, etc.) and time-permitting circumstances. Ultimately, in-class
presentations are intended to take place during the final week(s) of the semester, yet will still be
at the discretion of the instructor.
– Include at least one slide outlining how you would teach this content to a particular group of
mathematics students or peers (if relevant to your major). What challenges might you encounter
in instruction? What challenges might your students or peers encounter in instruction? What
mathematical barriers cannot be bypassed to give a rigorous account of your results? How might
your presented results be useful?
Academic Writing/Sources (5%)
– Strong academic writing is expected throughout the written report and the notes on the
PowerPoint slides. Please proofread several times before submitting your files.
– Cite your sources according to directions given by your instructor at the end of your written
report. Whether formal or informal citations are to be used will be at the discretion of the
instructor
Additional Notes
– Any extra or replacement instructions for this Modeling Project will be at the consent and
discretion of the instructor. Please keep track of and follow all project-related correspondence
from your instructor, as they have the final say on how to proceed with the details of this
assignment.
Additional helping material
Take a look at this website – there are some exercises with hypothetical data that you could
choose and use: https://mathinsight.org/bacteria_growth_logistic_model
https://mathinsight.org/bacteria_growth_logistic_model
Additional helping material for Project MAT 470 GCU
Take a look at this website – there are some exercises with hypothetical data that you could
choose and use: https://mathinsight.org/bacteria_growth_logistic_model
https://mathinsight.org/bacteria_growth_logistic_model
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